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A100172 Structured triakis icosahedral numbers (vertex structure 4). 2
1, 32, 150, 412, 875, 1596, 2632, 4040, 5877, 8200, 11066, 14532, 18655, 23492, 29100, 35536, 42857, 51120, 60382, 70700, 82131, 94732, 108560, 123672, 140125, 157976, 177282, 198100, 220487, 244500, 270196, 297632 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..10000

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

FORMULA

a(n) = (1/6)*(57*n^3 - 81*n^2 + 30*n).

G.f.: x*(1 + 28*x + 28*x^2)/(1-x)^4. [Colin Barker, May 29 2012]

PROG

(MAGMA) [(1/6)*(57*n^3-81*n^2+30*n): n in [1..40]]; // Vincenzo Librandi, Jul 27 2011

CROSSREFS

Cf. A100164 = alternate vertex; A100145 for more on structured numbers.

Sequence in context: A100173 A234874 A220975 * A234132 A203557 A124998

Adjacent sequences:  A100169 A100170 A100171 * A100173 A100174 A100175

KEYWORD

easy,nonn

AUTHOR

James A. Record (james.record(AT)gmail.com), Nov 07 2004

STATUS

approved

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Last modified February 25 14:40 EST 2021. Contains 341609 sequences. (Running on oeis4.)